Aspects of Differential Geometry V
Calvino-Louzao, Esteban / Garcia-Rio, Eduardo / Gilkey, Peter B / Park, JeongHyeong / Vazquez-Lorenzo, Ramon
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without p...